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Finding the Fourth Proportional to 23,435.65, 32,340.77 and 12,825.07

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Solution

The fourth proportional to 23,435.65, 32,340.77 and 12,825.07 is: 17,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,435.65 : 32,340.77 = 12,825.07 : x
  2. Step 2: Convert to fraction form
    23,435.65/32,340.77 = 12,825.07/x
  3. Step 3: Cross multiply
    23,435.65x = 32,340.77 × 12,825.07
  4. Step 4: Simplify right side
    23,435.65x = 414,772,574.98
  5. Step 5: Solve for x
    x = 414,772,574.98/23,435.65
  6. Step 6: Final answer
    x = 17,698.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.